{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "extensions": {
     "jupyter_dashboards": {
      "version": 1,
      "views": {
       "grid_default": {
        "hidden": true
       },
       "report_default": {}
      }
     }
    },
    "nbpresent": {
     "id": "c59bfd9b-4293-433e-83db-820c33f4c378"
    }
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "from IPython.display import display\n",
    "from geoscilabs.em.PlanewaveWidgetFD import PlanewaveWidget, PolarEllipse, InteractivePlaneProfile\n",
    "from geoscilabs.em.DipoleWidgetFD import InteractiveDipoleProfile\n",
    "from geoscilabs.em.VolumeWidgetPlane import InteractivePlanes, plotObj3D"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "extensions": {
     "jupyter_dashboards": {
      "version": 1,
      "views": {
       "grid_default": {
        "col": 0,
        "height": 4,
        "hidden": true,
        "row": 6,
        "width": 4
       },
       "report_default": {}
      }
     }
    },
    "nbpresent": {
     "id": "95f1e819-0749-42ff-ad94-6d428298a5a7"
    }
   },
   "source": [
    "# Planewave propagation in a Whole-space (frequency-domain)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "extensions": {
     "jupyter_dashboards": {
      "version": 1,
      "views": {
       "grid_default": {
        "col": 4,
        "height": 4,
        "hidden": true,
        "row": 6,
        "width": 4
       },
       "report_default": {}
      }
     }
    },
    "nbpresent": {
     "id": "3bd63ed4-b758-48e5-a662-b68e4b2ce034"
    }
   },
   "source": [
    "# Purpose\n",
    "\n",
    "We visualizae downward propagating planewave in the homogeneous earth medium. With the three apps: a) Plane wave app, b) Profile app, and c) Polarization ellipse app, we understand fundamental concepts of planewave propagation. \n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Set up\n",
    "\n",
    "Planewave EM equation can be written as \n",
    "\n",
    "$$\\frac{\\partial^2 \\mathbf{E}}{\\partial z^2} + k^2 \\mathbf{E} = 0,$$\n",
    "\n",
    "For homogeneous earth, solution can be simply derived:\n",
    "\n",
    "\n",
    "$$\\mathbf{E} = \\mathbf{E}_0 e^{ikz}$$\n",
    "\n",
    "$$\\mathbf{H} = - i \\omega \\mu \\nabla \\times (\\mathbf{E}_0 e^{ikz}).$$\n",
    "\n",
    "where complex wavenumber $k$ is \n",
    "\n",
    "$$ k = \\sqrt{\\mu \\epsilon \\omega^2 - i \\mu \\sigma \\omega}.$$\n",
    "\n",
    "In time domain, the wave travelling in the negative z-direction has the form:\n",
    "\n",
    "$$ \\mathbf{e} = \\mathbf{e}_0^- e^{i(k z + \\omega t)}.$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "extensions": {
     "jupyter_dashboards": {
      "version": 1,
      "views": {
       "grid_default": {
        "col": 8,
        "height": 21,
        "hidden": false,
        "row": 0,
        "width": 4
       },
       "report_default": {}
      }
     }
    },
    "nbpresent": {
     "id": "baf63d98-9356-4c2d-81d7-8f8cd1a6da2d"
    }
   },
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 504x504 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax = plotObj3D()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "extensions": {
     "jupyter_dashboards": {
      "version": 1,
      "views": {
       "grid_default": {
        "col": 8,
        "height": 14,
        "hidden": true,
        "row": 14,
        "width": null
       },
       "report_default": {}
      }
     }
    },
    "nbpresent": {
     "id": "4cca45b8-6d74-43f2-b3aa-2f1f3ece54f3"
    }
   },
   "source": [
    "# Planewave app\n",
    "\n",
    "## Parameters:\n",
    "\n",
    "- Field: Type of EM fields (\"Ex\": electric field, \"Hy\": magnetic field)\n",
    "- AmpDir: Type of the vectoral EM fields \n",
    "\n",
    "    None: $F_x$ or $F_y$ or $F_z$\n",
    "    \n",
    "    Amp: $\\mathbf{F} \\cdot \\mathbf{F}^* = |\\mathbf{F}|^2$\n",
    "    \n",
    "    Dir: Real part of a vectoral EM fields, $\\Re[\\mathbf{F}]$\n",
    "    \n",
    "- ComplexNumber: Type of complex data (\"Re\", \"Im\", \"Amp\", \"Phase\")    \n",
    "- Frequency: Transmitting frequency (Hz)\n",
    "- Sigma: Conductivity of homogeneous earth (S/m)\n",
    "- Scale: Choose \"log\" or \"linear\" scale \n",
    "- Time: "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "extensions": {
     "jupyter_dashboards": {
      "version": 1,
      "views": {
       "grid_default": {
        "col": 0,
        "height": 21,
        "hidden": false,
        "row": 0,
        "width": 8
       },
       "report_default": {}
      }
     }
    },
    "nbpresent": {
     "id": "d4efa881-fa5c-4ecc-87b0-47f53e865a5f"
    }
   },
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "3f30e785b6d04ef999752aa342c8b193",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "interactive(children=(ToggleButtons(description='Field', options=('Ex', 'Hy'), value='Ex'), ToggleButtons(desc…"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "dwidget = PlanewaveWidget()\n",
    "Q = dwidget.InteractivePlaneWave()\n",
    "display(Q)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "extensions": {
     "jupyter_dashboards": {
      "version": 1,
      "views": {
       "grid_default": {
        "col": 4,
        "height": 4,
        "hidden": true,
        "row": 13,
        "width": 4
       },
       "report_default": {}
      }
     }
    }
   },
   "source": [
    "# Profile app\n",
    "\n",
    "We visualize EM fields at vertical profile (marked as red dots in the above app). \n",
    "\n",
    "## Parameters:\n",
    "\n",
    "- **Field**: Ex, Hy, and Impedance \n",
    "- ** $\\sigma$ **: Conductivity (S/m)\n",
    "- **Scale**: Log10 or Linear scale\n",
    "- **Fixed**: Fix the scale or not\n",
    "- **$f$**: Frequency\n",
    "- **$t$**: Time\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "extensions": {
     "jupyter_dashboards": {
      "version": 1,
      "views": {
       "grid_default": {
        "col": 0,
        "height": 17,
        "hidden": false,
        "row": 21,
        "width": 8
       },
       "report_default": {}
      }
     }
    },
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "3409efcaab0a4423848cb82956805edc",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "interactive(children=(ToggleButtons(description='Field', options=('Ex', 'Hy', 'Impedance', 'rhophi'), value='E…"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "display(InteractivePlaneProfile())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "extensions": {
     "jupyter_dashboards": {
      "version": 1,
      "views": {
       "grid_default": {
        "col": 8,
        "height": 4,
        "hidden": true,
        "row": 14,
        "width": 4
       },
       "report_default": {}
      }
     }
    }
   },
   "source": [
    "# Polarization Ellipse app"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "extensions": {
     "jupyter_dashboards": {
      "version": 1,
      "views": {
       "grid_default": {
        "col": 0,
        "height": 13,
        "hidden": false,
        "row": 38,
        "width": 8
       },
       "report_default": {}
      }
     }
    },
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "c1a54ae4e5f242da97753a4003206a41",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "interactive(children=(IntSlider(value=0, description='itime', max=999, step=10), Output()), _dom_classes=('wid…"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Polarwidget = PolarEllipse(); \n",
    "Polarwidget.Interactive()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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      "name": "grid",
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     "report_default": {
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  "kernelspec": {
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   "language": "python",
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  "language_info": {
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